Abstract

The notion of an adiabatic exponent-as the ratio ϰ of the specific heats at constant pressure and at constant volume-which had been so productive in classical gasdynamics, gets unfit for thermodynamic flow, if the suppositions of constant specific heats and of constant partial pressures can no longer be maintained for the different gas components. In these cases, the heterogeneous origin of the different, onlyapparently uniform exponents, which occur in the flow equations, becomes evident and their numeric values begin to differ from each other. For dissociating gases, e.g., the adiabatic exponent is no longer identical with the ratio of specific heats. In the present paper, the influences of variable specific heats and partial pressures on the adiabatic exponent are taken separately into account. With new, appropriately determined exponents δ, generalized equations for isentropic flow are established, from which the classical formula can be derived as a limit case.

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